In this study, several novel numerical solutions are presented to solve the turbulent filtration equation and its special case called “Non-Newtonian mechanical filtration equation”. The turbulent filtration equation in porous media is a very important equation which has many applications to solve the problems appearing especially in mechatronics, micro mechanic and fluid mechanic. Many applied mechanical problems can be solved using this equation. For example, non-Newtonian mechanical filtration equation solves many filtration problems in fluid mechanic. The novel proposed discrete numerical solutions are simulated in MATLAB/simulink environment to validate the theoretically numerical solutions and proofing that the proposed numerical solutions are realizable.